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黎曼流形上一类非线性偏微分方程正解的唯一性和不存在性结果
引用本文:李兴校,曹林芬.黎曼流形上一类非线性偏微分方程正解的唯一性和不存在性结果[J].数学季刊,2007,22(3):344-351.
作者姓名:李兴校  曹林芬
作者单位:Department of Mathematics Henan Normal University,Department of Mathematics Henan Normal University Xinxiang 453002,China,Xinxiang 453002,China
摘    要:The paper studies a class of nonlinear elliptic partial differential equations on a compact Riemannian manifold (M,g) with some curvature restriction.The authors try to prove some uniqueness and nonexistent results for the positive solutions of the equations concerned.

关 键 词:黎曼流形  非线性偏微分方程  正解  唯一性  不存在性
文章编号:1002-0462(2007)03-0344-08
收稿时间:2005-05-11
修稿时间:2005年5月11日

The Uniqueness and Nonexistent Results for Some Nonlinear Partial Equations on Riemannian Manifolds
LI Xing-xiao,CAO Lin-fen.The Uniqueness and Nonexistent Results for Some Nonlinear Partial Equations on Riemannian Manifolds[J].Chinese Quarterly Journal of Mathematics,2007,22(3):344-351.
Authors:LI Xing-xiao  CAO Lin-fen
Abstract:The paper studies a class of nonlinear elliptic partial differential equations on a compact Riemannian manifold (M,g) with some curvature restriction.The authors try to prove some uniqueness and nonexistent results for the positive solutions of the equations concerned.
Keywords:compact Riemannian manifold  nonlinear elliptic equation  positive solution uniqueness and nonexistance
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